Kata

Task

Consider a series of functions $S_m(n)S\_m(n)$ where:

$S_0(n)=1S\_0(n)\; =\; 1$
$S_{m+1}(n)={\displaystyle \sum _{k=1}^n{S}_m(k)}S\_\{m+1\}(n)\; =\; \backslash displaystyle\backslash sum^n\_\{k=1\}S\_m(k)$

Write a function s which takes two integer arguments m and n and returns the value defined by $S_m(n)S\_m(n)$.

Inputs

0 <= m <= 100
1 <= n <= 10**100